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Finding the Fourth Proportional to 177,848.56, 266,847.72 and 77,957.20

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Solution

The fourth proportional to 177,848.56, 266,847.72 and 77,957.20 is: 116,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848.56 : 266,847.72 = 77,957.20 : x
  2. Step 2: Convert to fraction form
    177,848.56/266,847.72 = 77,957.20/x
  3. Step 3: Cross multiply
    177,848.56x = 266,847.72 × 77,957.20
  4. Step 4: Simplify right side
    177,848.56x = 20,802,701,077.58
  5. Step 5: Solve for x
    x = 20,802,701,077.58/177,848.56
  6. Step 6: Final answer
    x = 116,968.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.